Du, Guichun; Shao, Chunfang; Zhang, Jianhua The representation of generalized inverse of a class of bounded linear operators. (Chinese. English summary) Zbl 1211.47003 Basic Sci. J. Text. Univ. 22, No. 1, 29-32 (2009). Summary: In order to investigate the representation and properties of the generalized inverse on an infinite-dimensional Hilbert space, some properties of an idempotent operator and orthogonal projection defined on its range are discussed. The matrix representation of the generalized inverse of some bounded linear operators is established by using the technique of block operator matrices. MSC: 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 47A67 Representation theory of linear operators Keywords:orthogonal projection; generalised inverse; operator matrix PDFBibTeX XMLCite \textit{G. Du} et al., Basic Sci. J. Text. Univ. 22, No. 1, 29--32 (2009; Zbl 1211.47003)